Details

Time bar (total: 2.3s)

sample37.0ms

Algorithm
intervals
Results
17.0ms270×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0157
1157

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 27.4b

Counts
2 → 1

localize11.0ms

Local error

Found 2 expressions with local error:

0.7b
(+ (* a c) (* b d))
26.9b
(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
4×add-exp-log add-cbrt-cube add-log-exp
3×flip3-+ associate-/r* flip-+ associate-/l*
2×pow1 associate-/r/ associate-/l/
1×cbrt-undiv +-commutative frac-2neg div-exp clear-num sum-log div-inv
Counts
2 → 42
Calls
2 calls:
4.0ms
(+ (* a c) (* b d))
9.0ms
(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))

series36.0ms

Counts
2 → 6
Calls
2 calls:
10.0ms
(+ (* a c) (* b d))
27.0ms
(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))

simplify95.0ms

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0231450
1847413
22837412
35001412

prune92.0ms

Filtered
38 candidates to 48 candidates (-26.3%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New41748
Fresh000
Picked011
Done000
Total41849

Merged error: 26.7b

Counts
49 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

0.7b
(+ (* a c) (* b d))
14.5b
(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
30.1b
(sqrt (+ (* c c) (* d d)))
30.1b
(sqrt (+ (* c c) (* d d)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
21×add-cube-cbrt *-un-lft-identity
18×times-frac sqrt-prod
6×pow1 add-exp-log sqrt-div associate-/r* add-cbrt-cube add-log-exp
5×flip3-+ flip-+
3×associate-/l*
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-/r/ associate-/l/
1×cbrt-undiv +-commutative frac-2neg div-exp clear-num sum-log div-inv
Counts
4 → 84
Calls
4 calls:
4.0ms
(+ (* a c) (* b d))
10.0ms
(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
4.0ms
(sqrt (+ (* c c) (* d d)))
4.0ms
(sqrt (+ (* c c) (* d d)))

series59.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(+ (* a c) (* b d))
35.0ms
(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
9.0ms
(sqrt (+ (* c c) (* d d)))
6.0ms
(sqrt (+ (* c c) (* d d)))

simplify91.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0273893
1868840
22679828
35002828

prune129.0ms

Filtered
74 candidates to 96 candidates (-29.7%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New91596
Fresh246
Picked101
Done011
Total9410104

Merged error: 24.3b

Counts
104 → 10

localize15.0ms

Local error

Found 4 expressions with local error:

0.7b
(+ (* a c) (* b d))
14.6b
(* (+ (* a c) (* b d)) (/ 1 (sqrt (+ (* c c) (* d d)))))
30.1b
(sqrt (+ (* c c) (* d d)))
30.1b
(sqrt (+ (* c c) (* d d)))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
34×add-sqr-sqrt
24×associate-*r*
22×*-un-lft-identity times-frac
20×add-cube-cbrt
17×sqrt-prod
13×add-exp-log
9×add-cbrt-cube
8×pow1
6×flip3-+ sqrt-div flip-+ add-log-exp
5×unswap-sqr
4×prod-exp
3×associate-*l*
2×frac-times rem-sqrt-square sqrt-pow1 pow1/2 div-exp associate-*l/ associate-/r/ cbrt-unprod
1×cbrt-undiv +-commutative rec-exp 1-exp associate-*r/ pow-prod-down sum-log un-div-inv *-commutative div-inv
Counts
4 → 94
Calls
4 calls:
4.0ms
(+ (* a c) (* b d))
19.0ms
(* (+ (* a c) (* b d)) (/ 1 (sqrt (+ (* c c) (* d d)))))
4.0ms
(sqrt (+ (* c c) (* d d)))
4.0ms
(sqrt (+ (* c c) (* d d)))

series57.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(+ (* a c) (* b d))
35.0ms
(* (+ (* a c) (* b d)) (/ 1 (sqrt (+ (* c c) (* d d)))))
6.0ms
(sqrt (+ (* c c) (* d d)))
6.0ms
(sqrt (+ (* c c) (* d d)))

simplify55.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0385911
11913826
25002802

prune126.0ms

Filtered
75 candidates to 106 candidates (-41.3%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New1060106
Fresh088
Picked011
Done011
Total10610116

Merged error: 24.3b

Counts
116 → 10

localize12.0ms

Local error

Found 3 expressions with local error:

0.5b
(/ 1 (+ (* c c) (* d d)))
0.7b
(+ (* a c) (* b d))
26.4b
(* (+ (* a c) (* b d)) (/ 1 (+ (* c c) (* d d))))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
20×*-un-lft-identity times-frac
19×add-cube-cbrt
16×add-exp-log
15×associate-*r*
10×add-cbrt-cube
6×pow1
5×flip3-+ flip-+ add-log-exp
4×div-exp prod-exp associate-/r/
3×associate-*l* associate-/r* associate-/l* unswap-sqr
2×cbrt-undiv frac-times rec-exp 1-exp associate-*l/ cbrt-unprod div-inv
1×+-commutative pow-flip frac-2neg associate-*r/ pow-prod-down clear-num sum-log un-div-inv *-commutative inv-pow
Counts
3 → 86
Calls
3 calls:
6.0ms
(/ 1 (+ (* c c) (* d d)))
4.0ms
(+ (* a c) (* b d))
15.0ms
(* (+ (* a c) (* b d)) (/ 1 (+ (* c c) (* d d))))

series50.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(/ 1 (+ (* c c) (* d d)))
12.0ms
(+ (* a c) (* b d))
31.0ms
(* (+ (* a c) (* b d)) (/ 1 (+ (* c c) (* d d))))

simplify55.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0352774
11671681
25002653

prune76.0ms

Filtered
56 candidates to 95 candidates (-69.6%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New94195
Fresh167
Picked011
Done022
Total9510105

Merged error: 24.3b

Counts
105 → 10

regimes503.0ms

Accuracy

27.7% (2.1b remaining)

Error of 25.2b against oracle of 23.1b and baseline of 26.0b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03127
13327
23327

end0.0ms

sample727.0ms

Algorithm
intervals
Results
401.0ms8461×body80valid

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